2(x-3)-4=7x+2-x

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Solution for 2(x-3)-4=7x+2-x equation:


Simplifying
2(x + -3) + -4 = 7x + 2 + -1x

Reorder the terms:
2(-3 + x) + -4 = 7x + 2 + -1x
(-3 * 2 + x * 2) + -4 = 7x + 2 + -1x
(-6 + 2x) + -4 = 7x + 2 + -1x

Reorder the terms:
-6 + -4 + 2x = 7x + 2 + -1x

Combine like terms: -6 + -4 = -10
-10 + 2x = 7x + 2 + -1x

Reorder the terms:
-10 + 2x = 2 + 7x + -1x

Combine like terms: 7x + -1x = 6x
-10 + 2x = 2 + 6x

Solving
-10 + 2x = 2 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-10 + 2x + -6x = 2 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-10 + -4x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -4x = 2 + 0
-10 + -4x = 2

Add '10' to each side of the equation.
-10 + 10 + -4x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 2 + 10
-4x = 2 + 10

Combine like terms: 2 + 10 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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